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Finding the Fourth Proportional to 47,968.34, 66,196.37 and 27,829.11

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Solution

The fourth proportional to 47,968.34, 66,196.37 and 27,829.11 is: 38,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,968.34 : 66,196.37 = 27,829.11 : x
  2. Step 2: Convert to fraction form
    47,968.34/66,196.37 = 27,829.11/x
  3. Step 3: Cross multiply
    47,968.34x = 66,196.37 × 27,829.11
  4. Step 4: Simplify right side
    47,968.34x = 1,842,185,923.19
  5. Step 5: Solve for x
    x = 1,842,185,923.19/47,968.34
  6. Step 6: Final answer
    x = 38,404.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.